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Finding the Third Proportional to 64,972 and 146,744

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Solution

The third proportional to 64,972 and 146,744 is: 331,432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,972 : 146,744 = 146,744 : x
  2. Step 2: Convert to fraction form
    64,972/146,744 = 146,744/x
  3. Step 3: Cross multiply
    64,972x = 146,744 × 146,744
  4. Step 4: Simplify right side
    64,972x = 21,533,801,536
  5. Step 5: Solve for x
    x = 21,533,801,536/64,972
  6. Step 6: Final answer
    x = 331,432.03

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.